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Case Study of Mathematics Classes toward the Representation of Learning Process.

Research Project

Project/Area Number 08680260
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 教科教育
Research InstitutionUtsunomiya University

Principal Investigator

KIMURA Hiroshi  Faculty of Education, Utsunomiya University, Professor, 教育学部, 教授 (70017953)

Co-Investigator(Kenkyū-buntansha) SHIRASO Takeo  Faculty of Education, Utsunomiya University, Associate Professor, 教育学部, 助教授 (50007960)
KITAGAWA Yoshihisa  Faculty of Education, Utsunomiya University, Associate Professor, 教育学部, 助教授 (20144917)
FUJIHIRA Hideyuki  Faculty of Education, Utsunomiya University, Associate Professor, 教育学部, 助教授 (70114171)
OCHIAI Shoji  Faculty of Education, Utsunomiya University, Professor, 教育学部, 教授 (30031545)
KIMURA Shigeru  Faculty of Education, Utsunomiya University, Professor, 教育学部, 教授 (70007962)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1997: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1996: ¥800,000 (Direct Cost: ¥800,000)
KeywordsMATHEMATICS EDUCATION / REPRESENTATIVE CLASS OF LEARNING PROCESS / CASE STUDY / DEVELOPMENT OF MATERIAL / 作品 / 算数授業 / 数学授業 / 事例研究
Research Abstract

One of the purposes of this study is to identify the efforts on representative classes of learning process (we call these class representized class) ; making mathematics, exhibiting representations of these processes and looking back these works. The other is to make out the teacher's manual for these mathematics classes.
We had several experimental classes by young teachers controlling from plan to reflection.
Overseeing them, we saw the following ;
(1)These mathematics classes have much effect on young teachers.
(2)Young teachers who get down to this kind of classes can teach as well as skilled teachers do. Young teachers doing in a group, can find new targets which skilled tearchers tend to miss.
(3)Students don't express their own ideas so much without their teacher's advices.
(4)We sometimes can't look over the representations of students' learning processes, becouse of the surroundings of which the usual classrooms have no space for exhibits.
(5)Sometimes, teachers are suggested by their students' reactions in the representized classes with non routin materials.
(6)Workings of developments of teaching materials are similar to the ways of our representized classes. Therefore, such workings can be said an synthetical learning.
In addition, we developed several new teaching materials on the domain of numbers and calculations and on the domain of mathematical relations.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (31 results)

All Other

All Publications (31 results)

  • [Publications] 木村 寛: "作品化の授業効果の検証について" 日数教数学教育論文発表会論文集. 29. 645-646 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 木村 寛: "算数数学科と理科における学習指導の連携について" 日本科学教育学会年会論文集. 21. 431-432 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 木村 寛: "一人ひとりの考えのよさを生かす指導の工夫" 新しい算数研究 平成9年度全国大会報告書. 15-17 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 木村 寛: "作品化をめざす授業とその効果について" 日本科学教育学会研究会研究報告. 11・5. 59-64 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 木村 寛 他: "小中高に一貫した数学的な問題解決の手法" 宇大教育学部附属教育実践指導センター紀要. 21. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 木村 寛 他: "算数数学科の作品化をめざす授業の事例的研究" 文部省科研費補助金研究成果報告書(宇大). (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Hiroshi: "On a Reconfirmation of the Effects on Exhibiting Classes of Students' Mathematical Works." Proceedings of the 29th Presentation of Thesis on Mathematical Education of the JSME. No.29. 645-646 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Hiroshi: "A Combination of the Teaching Methods between Mathematics and Science." Proceedings of the 21th Year-Meeting of the JSSE. No.21. 431-432 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Hiroshi: "A Contrivance on the Teaching for Using the Appreciation of Ideas Ond After Another." Reports on the National Meeting of the Study for New Arithmetic. 15-17 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Hiroshi: "Mathematics Classes toward the Representation of Learning Process and these Classes Effects : An Consideration on one Case-Study." Reports on the Study Group of the JSSE. Vol.11, No.5. 59-64 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Hiroshi: "Let's Look forward to the Development of Students' Possibilities." The Journal of Arithmetic Education. No.491. 8-9 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Hiroshi: "Some Common Strategies of Problem Solving on Elementary and Secondary School Mathematics." Bulletin the Center for Educational Research and Training in Utsunomiya University. No.21 (To appear). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Hiroshi: "Case Study of Mathematics Classes toward the Representation of Learning Process." Reports of Utsunomiya Univ.on Grant in Aid for Science Research Result. 1-302 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Shigeru: "Mathematics Education and Technology." Bulletin the Center for Educational Research and Training in Utsunomiya University. No.20. 153-162 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kimura, Shigeru: "Developments in the Nevanlinna Theory." Bulletin of the Faculty of Education of Utsunomiya Univ.No.46, Section 2. 1-6 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Ochiai, Syouji: "Note on a Lattice derived from Finite Topological Spaces." Bulletin of the Faculty of Education of Utsunomiya Univ.No.47, Section 2. 1-3 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Shiraso, Takeo: "The Uniqueness of Henselian Valuations in Neukirch's General Class Field Theory." Bulletin of the Faculty of Education of Utsunomiya Univ.No.47, Section 2. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Fujihira, Hideyuki: "A Norm for The Fixed Point Problem." Bulletin of the Faculty of Education of Utsunomiya Univ.No.47, Section 2. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Fujihira, Hideyuki: "Topological Properties of Invariant Set of Continuous Mappings." Bulletin of the Faculty of Education of Utsunomiya Univ.No.48, Section 2. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 木村 寛: "作品化の授業効果の検証について" 日数教数学教育論文発表会論文集. 29. 645-646 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 木村 寛: "算数数学科と理科における学習指導の連携について" 日本科学教育学会年会論文集. 21. 431-432 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 木村 寛: "一人ひとりの考えのよさを生かす指導の工夫" 新しい算数研究 平成9年度全国大会報告書. 15-17 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 木村 寛: "作品化をめざす授業とその効果について" 日本科学教育学会研究会研究報告. 11・5. 59-64 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 木村 寛他: "小中高に一貫した数学的な問題解決の手法" 宇大教育学部付属教育実践指導センター紀要. 21. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 木村 寛他: "算数数学科の作品化をめざす授業の事例的研究" 文部省科研費補助金研究成果報告書(宇大). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 木村寛: "紙を用いた問題の教材化について(その2)" 宇都宮大学数学研究報告. 9. 1-10 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 木村寛: "作品化の授業効果の検証について" 日本数学教育学会第29回数学教育論文発表会論文集. 29. 645-646 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 木村寛: "作品化をめざす授業とその効果について:一つの事例から" 日本科学教育学会研究会研究報告. 5. (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 落合昭二: "On a Matrix Corresponding to a Topology" 宇都宮大学数学研究報告. 9. 11-14 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 落合昭二: "有限位相空間から導かれるある束についてのノート" 宇都宮大学教育学部紀要第2部. 47. 1-3 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 白相岳男: "The Uniqueness of Henselian Valuations in Neukirch′s General Class Field Theory." 宇都宮大学教育学部紀要第2部. 47. 5-8 (1997)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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